Finding the Third Proportional to 72,160 and 113,226

Step by Step Solution

1. Step 1: Write the proportion equation
   72,160 : 113,226 = 113,226 : x
2. Step 2: Convert to fraction form
   72,160/113,226 = 113,226/x
3. Step 3: Cross multiply
   72,160x = 113,226 × 113,226
4. Step 4: Simplify right side
   72,160x = 12,820,127,076
5. Step 5: Solve for x
   x = 12,820,127,076/72,160
6. Step 6: Final answer
   x = 177,662.51