Finding the Third Proportional to 64,632 and 138,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,632 : 138,736.50 = 138,736.50 : x
2. Step 2: Convert to fraction form
   64,632/138,736.50 = 138,736.50/x
3. Step 3: Cross multiply
   64,632x = 138,736.50 × 138,736.50
4. Step 4: Simplify right side
   64,632x = 19,247,816,432.25
5. Step 5: Solve for x
   x = 19,247,816,432.25/64,632
6. Step 6: Final answer
   x = 297,806.29