Finding the Third Proportional to 90,642.75 and 194,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,642.75 : 194,407.50 = 194,407.50 : x
2. Step 2: Convert to fraction form
   90,642.75/194,407.50 = 194,407.50/x
3. Step 3: Cross multiply
   90,642.75x = 194,407.50 × 194,407.50
4. Step 4: Simplify right side
   90,642.75x = 37,794,276,056.25
5. Step 5: Solve for x
   x = 37,794,276,056.25/90,642.75
6. Step 6: Final answer
   x = 416,958.62