Finding the Third Proportional to 89,937 and 193,882.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,937 : 193,882.50 = 193,882.50 : x
2. Step 2: Convert to fraction form
   89,937/193,882.50 = 193,882.50/x
3. Step 3: Cross multiply
   89,937x = 193,882.50 × 193,882.50
4. Step 4: Simplify right side
   89,937x = 37,590,423,806.25
5. Step 5: Solve for x
   x = 37,590,423,806.25/89,937
6. Step 6: Final answer
   x = 417,963.95