Finding the Third Proportional to 61,524 and 134,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,524 : 134,164.50 = 134,164.50 : x
2. Step 2: Convert to fraction form
   61,524/134,164.50 = 134,164.50/x
3. Step 3: Cross multiply
   61,524x = 134,164.50 × 134,164.50
4. Step 4: Simplify right side
   61,524x = 18,000,113,060.25
5. Step 5: Solve for x
   x = 18,000,113,060.25/61,524
6. Step 6: Final answer
   x = 292,570.59