Finding the Third Proportional to 77,982 and 117,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,982 : 117,527.50 = 117,527.50 : x
2. Step 2: Convert to fraction form
   77,982/117,527.50 = 117,527.50/x
3. Step 3: Cross multiply
   77,982x = 117,527.50 × 117,527.50
4. Step 4: Simplify right side
   77,982x = 13,812,713,256.25
5. Step 5: Solve for x
   x = 13,812,713,256.25/77,982
6. Step 6: Final answer
   x = 177,126.94