Finding the Third Proportional to 76,359 and 116,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,359 : 116,158.50 = 116,158.50 : x
2. Step 2: Convert to fraction form
   76,359/116,158.50 = 116,158.50/x
3. Step 3: Cross multiply
   76,359x = 116,158.50 × 116,158.50
4. Step 4: Simplify right side
   76,359x = 13,492,797,122.25
5. Step 5: Solve for x
   x = 13,492,797,122.25/76,359
6. Step 6: Final answer
   x = 176,702.12