Finding the Third Proportional to 70,643 and 152,758

Step by Step Solution

1. Step 1: Write the proportion equation
   70,643 : 152,758 = 152,758 : x
2. Step 2: Convert to fraction form
   70,643/152,758 = 152,758/x
3. Step 3: Cross multiply
   70,643x = 152,758 × 152,758
4. Step 4: Simplify right side
   70,643x = 23,335,006,564
5. Step 5: Solve for x
   x = 23,335,006,564/70,643
6. Step 6: Final answer
   x = 330,322.98