Finding the Third Proportional to 101,991 and 153,077.25

Step by Step Solution

1. Step 1: Write the proportion equation
   101,991 : 153,077.25 = 153,077.25 : x
2. Step 2: Convert to fraction form
   101,991/153,077.25 = 153,077.25/x
3. Step 3: Cross multiply
   101,991x = 153,077.25 × 153,077.25
4. Step 4: Simplify right side
   101,991x = 23,432,644,467.56
5. Step 5: Solve for x
   x = 23,432,644,467.56/101,991
6. Step 6: Final answer
   x = 229,752.08