Finding the Third Proportional to 81,460 and 123,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,460 : 123,359.50 = 123,359.50 : x
2. Step 2: Convert to fraction form
   81,460/123,359.50 = 123,359.50/x
3. Step 3: Cross multiply
   81,460x = 123,359.50 × 123,359.50
4. Step 4: Simplify right side
   81,460x = 15,217,566,240.25
5. Step 5: Solve for x
   x = 15,217,566,240.25/81,460
6. Step 6: Final answer
   x = 186,810.29