Finding the Third Proportional to 58,127 and 82,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,127 : 82,272.50 = 82,272.50 : x
2. Step 2: Convert to fraction form
   58,127/82,272.50 = 82,272.50/x
3. Step 3: Cross multiply
   58,127x = 82,272.50 × 82,272.50
4. Step 4: Simplify right side
   58,127x = 6,768,764,256.25
5. Step 5: Solve for x
   x = 6,768,764,256.25/58,127
6. Step 6: Final answer
   x = 116,447.85