Finding the Third Proportional to 90,495 and 193,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,495 : 193,008.50 = 193,008.50 : x
2. Step 2: Convert to fraction form
   90,495/193,008.50 = 193,008.50/x
3. Step 3: Cross multiply
   90,495x = 193,008.50 × 193,008.50
4. Step 4: Simplify right side
   90,495x = 37,252,281,072.25
5. Step 5: Solve for x
   x = 37,252,281,072.25/90,495
6. Step 6: Final answer
   x = 411,650.16