Finding the Third Proportional to 52,434 and 83,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,434 : 83,065.50 = 83,065.50 : x
2. Step 2: Convert to fraction form
   52,434/83,065.50 = 83,065.50/x
3. Step 3: Cross multiply
   52,434x = 83,065.50 × 83,065.50
4. Step 4: Simplify right side
   52,434x = 6,899,877,290.25
5. Step 5: Solve for x
   x = 6,899,877,290.25/52,434
6. Step 6: Final answer
   x = 131,591.66