Finding the Third Proportional to 45,256 and 96,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,256 : 96,522.50 = 96,522.50 : x
2. Step 2: Convert to fraction form
   45,256/96,522.50 = 96,522.50/x
3. Step 3: Cross multiply
   45,256x = 96,522.50 × 96,522.50
4. Step 4: Simplify right side
   45,256x = 9,316,593,006.25
5. Step 5: Solve for x
   x = 9,316,593,006.25/45,256
6. Step 6: Final answer
   x = 205,864.26