Finding the Third Proportional to 101,137.50 and 205,146

Step by Step Solution

1. Step 1: Write the proportion equation
   101,137.50 : 205,146 = 205,146 : x
2. Step 2: Convert to fraction form
   101,137.50/205,146 = 205,146/x
3. Step 3: Cross multiply
   101,137.50x = 205,146 × 205,146
4. Step 4: Simplify right side
   101,137.50x = 42,084,881,316
5. Step 5: Solve for x
   x = 42,084,881,316/101,137.50
6. Step 6: Final answer
   x = 416,115.50