Finding the Third Proportional to 58,536 and 83,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,536 : 83,650.50 = 83,650.50 : x
2. Step 2: Convert to fraction form
   58,536/83,650.50 = 83,650.50/x
3. Step 3: Cross multiply
   58,536x = 83,650.50 × 83,650.50
4. Step 4: Simplify right side
   58,536x = 6,997,406,150.25
5. Step 5: Solve for x
   x = 6,997,406,150.25/58,536
6. Step 6: Final answer
   x = 119,540.22