Finding the Third Proportional to 89,127 and 193,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,127 : 193,036.50 = 193,036.50 : x
2. Step 2: Convert to fraction form
   89,127/193,036.50 = 193,036.50/x
3. Step 3: Cross multiply
   89,127x = 193,036.50 × 193,036.50
4. Step 4: Simplify right side
   89,127x = 37,263,090,332.25
5. Step 5: Solve for x
   x = 37,263,090,332.25/89,127
6. Step 6: Final answer
   x = 418,089.81