Finding the Third Proportional to 42,366 and 83,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,366 : 83,668.50 = 83,668.50 : x
2. Step 2: Convert to fraction form
   42,366/83,668.50 = 83,668.50/x
3. Step 3: Cross multiply
   42,366x = 83,668.50 × 83,668.50
4. Step 4: Simplify right side
   42,366x = 7,000,417,892.25
5. Step 5: Solve for x
   x = 7,000,417,892.25/42,366
6. Step 6: Final answer
   x = 165,236.70