Finding the Third Proportional to 200,742 and 293,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,742 : 293,572.50 = 293,572.50 : x
2. Step 2: Convert to fraction form
   200,742/293,572.50 = 293,572.50/x
3. Step 3: Cross multiply
   200,742x = 293,572.50 × 293,572.50
4. Step 4: Simplify right side
   200,742x = 86,184,812,756.25
5. Step 5: Solve for x
   x = 86,184,812,756.25/200,742
6. Step 6: Final answer
   x = 429,331.24