Finding the Third Proportional to 76,597 and 114,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,597 : 114,436.50 = 114,436.50 : x
2. Step 2: Convert to fraction form
   76,597/114,436.50 = 114,436.50/x
3. Step 3: Cross multiply
   76,597x = 114,436.50 × 114,436.50
4. Step 4: Simplify right side
   76,597x = 13,095,712,532.25
5. Step 5: Solve for x
   x = 13,095,712,532.25/76,597
6. Step 6: Final answer
   x = 170,969.00