Finding the Third Proportional to 73,474.50 and 109,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,474.50 : 109,927.50 = 109,927.50 : x
2. Step 2: Convert to fraction form
   73,474.50/109,927.50 = 109,927.50/x
3. Step 3: Cross multiply
   73,474.50x = 109,927.50 × 109,927.50
4. Step 4: Simplify right side
   73,474.50x = 12,084,055,256.25
5. Step 5: Solve for x
   x = 12,084,055,256.25/73,474.50
6. Step 6: Final answer
   x = 164,465.97