Finding the Third Proportional to 90,844 and 212,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,844 : 212,188.50 = 212,188.50 : x
2. Step 2: Convert to fraction form
   90,844/212,188.50 = 212,188.50/x
3. Step 3: Cross multiply
   90,844x = 212,188.50 × 212,188.50
4. Step 4: Simplify right side
   90,844x = 45,023,959,532.25
5. Step 5: Solve for x
   x = 45,023,959,532.25/90,844
6. Step 6: Final answer
   x = 495,618.42