Finding the Third Proportional to 131,565 and 204,088.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,565 : 204,088.50 = 204,088.50 : x
2. Step 2: Convert to fraction form
   131,565/204,088.50 = 204,088.50/x
3. Step 3: Cross multiply
   131,565x = 204,088.50 × 204,088.50
4. Step 4: Simplify right side
   131,565x = 41,652,115,832.25
5. Step 5: Solve for x
   x = 41,652,115,832.25/131,565
6. Step 6: Final answer
   x = 316,589.64