Finding the Third Proportional to 52,457 and 83,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,457 : 83,190.50 = 83,190.50 : x
2. Step 2: Convert to fraction form
   52,457/83,190.50 = 83,190.50/x
3. Step 3: Cross multiply
   52,457x = 83,190.50 × 83,190.50
4. Step 4: Simplify right side
   52,457x = 6,920,659,290.25
5. Step 5: Solve for x
   x = 6,920,659,290.25/52,457
6. Step 6: Final answer
   x = 131,930.14