Finding the Third Proportional to 185,103,232,870 and 260,666,141,169

Step by Step Solution

1. Step 1: Write the proportion equation
   185,103,232,870 : 260,666,141,169 = 260,666,141,169 : x
2. Step 2: Convert to fraction form
   185,103,232,870/260,666,141,169 = 260,666,141,169/x
3. Step 3: Cross multiply
   185,103,232,870x = 260,666,141,169 × 260,666,141,169
4. Step 4: Simplify right side
   185,103,232,870x = 67,946,837,151,937,036,550,144
5. Step 5: Solve for x
   x = 67,946,837,151,937,036,550,144/185,103,232,870
6. Step 6: Final answer
   x = 367,075,367,071.83