Finding the Third Proportional to 73,185 and 152,112

Step by Step Solution

1. Step 1: Write the proportion equation
   73,185 : 152,112 = 152,112 : x
2. Step 2: Convert to fraction form
   73,185/152,112 = 152,112/x
3. Step 3: Cross multiply
   73,185x = 152,112 × 152,112
4. Step 4: Simplify right side
   73,185x = 23,138,060,544
5. Step 5: Solve for x
   x = 23,138,060,544/73,185
6. Step 6: Final answer
   x = 316,158.51