Finding the Third Proportional to 42,429 and 83,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,429 : 83,785.50 = 83,785.50 : x
2. Step 2: Convert to fraction form
   42,429/83,785.50 = 83,785.50/x
3. Step 3: Cross multiply
   42,429x = 83,785.50 × 83,785.50
4. Step 4: Simplify right side
   42,429x = 7,020,010,010.25
5. Step 5: Solve for x
   x = 7,020,010,010.25/42,429
6. Step 6: Final answer
   x = 165,453.11