Finding the Third Proportional to 69,140 and 147,758

Step by Step Solution

1. Step 1: Write the proportion equation
   69,140 : 147,758 = 147,758 : x
2. Step 2: Convert to fraction form
   69,140/147,758 = 147,758/x
3. Step 3: Cross multiply
   69,140x = 147,758 × 147,758
4. Step 4: Simplify right side
   69,140x = 21,832,426,564
5. Step 5: Solve for x
   x = 21,832,426,564/69,140
6. Step 6: Final answer
   x = 315,771.28