Finding the Third Proportional to 89,648.50 and 193,129

Step by Step Solution

1. Step 1: Write the proportion equation
   89,648.50 : 193,129 = 193,129 : x
2. Step 2: Convert to fraction form
   89,648.50/193,129 = 193,129/x
3. Step 3: Cross multiply
   89,648.50x = 193,129 × 193,129
4. Step 4: Simplify right side
   89,648.50x = 37,298,810,641
5. Step 5: Solve for x
   x = 37,298,810,641/89,648.50
6. Step 6: Final answer
   x = 416,056.16