Finding the Third Proportional to 70,769 and 152,716

Step by Step Solution

1. Step 1: Write the proportion equation
   70,769 : 152,716 = 152,716 : x
2. Step 2: Convert to fraction form
   70,769/152,716 = 152,716/x
3. Step 3: Cross multiply
   70,769x = 152,716 × 152,716
4. Step 4: Simplify right side
   70,769x = 23,322,176,656
5. Step 5: Solve for x
   x = 23,322,176,656/70,769
6. Step 6: Final answer
   x = 329,553.57