Finding the Third Proportional to 69,507 and 148,856

Step by Step Solution

1. Step 1: Write the proportion equation
   69,507 : 148,856 = 148,856 : x
2. Step 2: Convert to fraction form
   69,507/148,856 = 148,856/x
3. Step 3: Cross multiply
   69,507x = 148,856 × 148,856
4. Step 4: Simplify right side
   69,507x = 22,158,108,736
5. Step 5: Solve for x
   x = 22,158,108,736/69,507
6. Step 6: Final answer
   x = 318,789.60