Finding the Third Proportional to 73,186 and 152,113

Step by Step Solution

1. Step 1: Write the proportion equation
   73,186 : 152,113 = 152,113 : x
2. Step 2: Convert to fraction form
   73,186/152,113 = 152,113/x
3. Step 3: Cross multiply
   73,186x = 152,113 × 152,113
4. Step 4: Simplify right side
   73,186x = 23,138,364,769
5. Step 5: Solve for x
   x = 23,138,364,769/73,186
6. Step 6: Final answer
   x = 316,158.35