Finding the Third Proportional to 94,641 and 145,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,641 : 145,468.50 = 145,468.50 : x
2. Step 2: Convert to fraction form
   94,641/145,468.50 = 145,468.50/x
3. Step 3: Cross multiply
   94,641x = 145,468.50 × 145,468.50
4. Step 4: Simplify right side
   94,641x = 21,161,084,492.25
5. Step 5: Solve for x
   x = 21,161,084,492.25/94,641
6. Step 6: Final answer
   x = 223,593.20