Finding the Third Proportional to 76,203 and 116,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,203 : 116,500.50 = 116,500.50 : x
2. Step 2: Convert to fraction form
   76,203/116,500.50 = 116,500.50/x
3. Step 3: Cross multiply
   76,203x = 116,500.50 × 116,500.50
4. Step 4: Simplify right side
   76,203x = 13,572,366,500.25
5. Step 5: Solve for x
   x = 13,572,366,500.25/76,203
6. Step 6: Final answer
   x = 178,108.03