Finding the Third Proportional to 46,225.50 and 94,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,225.50 : 94,641.50 = 94,641.50 : x
2. Step 2: Convert to fraction form
   46,225.50/94,641.50 = 94,641.50/x
3. Step 3: Cross multiply
   46,225.50x = 94,641.50 × 94,641.50
4. Step 4: Simplify right side
   46,225.50x = 8,957,013,522.25
5. Step 5: Solve for x
   x = 8,957,013,522.25/46,225.50
6. Step 6: Final answer
   x = 193,767.80