Finding the Third Proportional to 200,664 and 293,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,664 : 293,797.50 = 293,797.50 : x
2. Step 2: Convert to fraction form
   200,664/293,797.50 = 293,797.50/x
3. Step 3: Cross multiply
   200,664x = 293,797.50 × 293,797.50
4. Step 4: Simplify right side
   200,664x = 86,316,971,006.25
5. Step 5: Solve for x
   x = 86,316,971,006.25/200,664
6. Step 6: Final answer
   x = 430,156.73