Finding the Third Proportional to 77,748 and 123,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,748 : 123,772.50 = 123,772.50 : x
2. Step 2: Convert to fraction form
   77,748/123,772.50 = 123,772.50/x
3. Step 3: Cross multiply
   77,748x = 123,772.50 × 123,772.50
4. Step 4: Simplify right side
   77,748x = 15,319,631,756.25
5. Step 5: Solve for x
   x = 15,319,631,756.25/77,748
6. Step 6: Final answer
   x = 197,042.13