Finding the Third Proportional to 99,644 and 148,047

Step by Step Solution

1. Step 1: Write the proportion equation
   99,644 : 148,047 = 148,047 : x
2. Step 2: Convert to fraction form
   99,644/148,047 = 148,047/x
3. Step 3: Cross multiply
   99,644x = 148,047 × 148,047
4. Step 4: Simplify right side
   99,644x = 21,917,914,209
5. Step 5: Solve for x
   x = 21,917,914,209/99,644
6. Step 6: Final answer
   x = 219,962.21