Finding the Third Proportional to 94,607 and 157,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,607 : 157,672.50 = 157,672.50 : x
2. Step 2: Convert to fraction form
   94,607/157,672.50 = 157,672.50/x
3. Step 3: Cross multiply
   94,607x = 157,672.50 × 157,672.50
4. Step 4: Simplify right side
   94,607x = 24,860,617,256.25
5. Step 5: Solve for x
   x = 24,860,617,256.25/94,607
6. Step 6: Final answer
   x = 262,777.78