Finding the Third Proportional to 89,563.50 and 193,113

Step by Step Solution

1. Step 1: Write the proportion equation
   89,563.50 : 193,113 = 193,113 : x
2. Step 2: Convert to fraction form
   89,563.50/193,113 = 193,113/x
3. Step 3: Cross multiply
   89,563.50x = 193,113 × 193,113
4. Step 4: Simplify right side
   89,563.50x = 37,292,630,769
5. Step 5: Solve for x
   x = 37,292,630,769/89,563.50
6. Step 6: Final answer
   x = 416,382.02