Finding the Third Proportional to 77,988 and 120,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,988 : 120,706.50 = 120,706.50 : x
2. Step 2: Convert to fraction form
   77,988/120,706.50 = 120,706.50/x
3. Step 3: Cross multiply
   77,988x = 120,706.50 × 120,706.50
4. Step 4: Simplify right side
   77,988x = 14,570,059,142.25
5. Step 5: Solve for x
   x = 14,570,059,142.25/77,988
6. Step 6: Final answer
   x = 186,824.37