Finding the Third Proportional to 103,275 and 152,991

Step by Step Solution

1. Step 1: Write the proportion equation
   103,275 : 152,991 = 152,991 : x
2. Step 2: Convert to fraction form
   103,275/152,991 = 152,991/x
3. Step 3: Cross multiply
   103,275x = 152,991 × 152,991
4. Step 4: Simplify right side
   103,275x = 23,406,246,081
5. Step 5: Solve for x
   x = 23,406,246,081/103,275
6. Step 6: Final answer
   x = 226,640.00