Finding the Third Proportional to 101,553 and 152,112

Step by Step Solution

1. Step 1: Write the proportion equation
   101,553 : 152,112 = 152,112 : x
2. Step 2: Convert to fraction form
   101,553/152,112 = 152,112/x
3. Step 3: Cross multiply
   101,553x = 152,112 × 152,112
4. Step 4: Simplify right side
   101,553x = 23,138,060,544
5. Step 5: Solve for x
   x = 23,138,060,544/101,553
6. Step 6: Final answer
   x = 227,842.22