Finding the Third Proportional to 92,114.25 and 191,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,114.25 : 191,152.50 = 191,152.50 : x
2. Step 2: Convert to fraction form
   92,114.25/191,152.50 = 191,152.50/x
3. Step 3: Cross multiply
   92,114.25x = 191,152.50 × 191,152.50
4. Step 4: Simplify right side
   92,114.25x = 36,539,278,256.25
5. Step 5: Solve for x
   x = 36,539,278,256.25/92,114.25
6. Step 6: Final answer
   x = 396,673.46