Finding the Third Proportional to 94,554 and 204,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,554 : 204,322.50 = 204,322.50 : x
2. Step 2: Convert to fraction form
   94,554/204,322.50 = 204,322.50/x
3. Step 3: Cross multiply
   94,554x = 204,322.50 × 204,322.50
4. Step 4: Simplify right side
   94,554x = 41,747,684,006.25
5. Step 5: Solve for x
   x = 41,747,684,006.25/94,554
6. Step 6: Final answer
   x = 441,522.14