Finding the Third Proportional to 69,785 and 99,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,785 : 99,675.50 = 99,675.50 : x
2. Step 2: Convert to fraction form
   69,785/99,675.50 = 99,675.50/x
3. Step 3: Cross multiply
   69,785x = 99,675.50 × 99,675.50
4. Step 4: Simplify right side
   69,785x = 9,935,205,300.25
5. Step 5: Solve for x
   x = 9,935,205,300.25/69,785
6. Step 6: Final answer
   x = 142,368.78