Finding the Third Proportional to 45,774 and 96,468.75

Step by Step Solution

1. Step 1: Write the proportion equation
   45,774 : 96,468.75 = 96,468.75 : x
2. Step 2: Convert to fraction form
   45,774/96,468.75 = 96,468.75/x
3. Step 3: Cross multiply
   45,774x = 96,468.75 × 96,468.75
4. Step 4: Simplify right side
   45,774x = 9,306,219,726.56
5. Step 5: Solve for x
   x = 9,306,219,726.56/45,774
6. Step 6: Final answer
   x = 203,307.99