Finding the Third Proportional to 85,557 and 137,841.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,557 : 137,841.50 = 137,841.50 : x
2. Step 2: Convert to fraction form
   85,557/137,841.50 = 137,841.50/x
3. Step 3: Cross multiply
   85,557x = 137,841.50 × 137,841.50
4. Step 4: Simplify right side
   85,557x = 19,000,279,122.25
5. Step 5: Solve for x
   x = 19,000,279,122.25/85,557
6. Step 6: Final answer
   x = 222,077.44