Finding the Third Proportional to 77,748 and 120,059.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,748 : 120,059.25 = 120,059.25 : x
2. Step 2: Convert to fraction form
   77,748/120,059.25 = 120,059.25/x
3. Step 3: Cross multiply
   77,748x = 120,059.25 × 120,059.25
4. Step 4: Simplify right side
   77,748x = 14,414,223,510.56
5. Step 5: Solve for x
   x = 14,414,223,510.56/77,748
6. Step 6: Final answer
   x = 185,396.71