Finding the Third Proportional to 133,434 and 293,109.75

Step by Step Solution

1. Step 1: Write the proportion equation
   133,434 : 293,109.75 = 293,109.75 : x
2. Step 2: Convert to fraction form
   133,434/293,109.75 = 293,109.75/x
3. Step 3: Cross multiply
   133,434x = 293,109.75 × 293,109.75
4. Step 4: Simplify right side
   133,434x = 85,913,325,545.06
5. Step 5: Solve for x
   x = 85,913,325,545.06/133,434
6. Step 6: Final answer
   x = 643,863.82