Finding the Third Proportional to 72,352 and 113,158

Step by Step Solution

1. Step 1: Write the proportion equation
   72,352 : 113,158 = 113,158 : x
2. Step 2: Convert to fraction form
   72,352/113,158 = 113,158/x
3. Step 3: Cross multiply
   72,352x = 113,158 × 113,158
4. Step 4: Simplify right side
   72,352x = 12,804,732,964
5. Step 5: Solve for x
   x = 12,804,732,964/72,352
6. Step 6: Final answer
   x = 176,978.29