Finding the Third Proportional to 56,458.50 and 82,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,458.50 : 82,567.50 = 82,567.50 : x
2. Step 2: Convert to fraction form
   56,458.50/82,567.50 = 82,567.50/x
3. Step 3: Cross multiply
   56,458.50x = 82,567.50 × 82,567.50
4. Step 4: Simplify right side
   56,458.50x = 6,817,392,056.25
5. Step 5: Solve for x
   x = 6,817,392,056.25/56,458.50
6. Step 6: Final answer
   x = 120,750.50