Finding the Third Proportional to 100,853 and 133,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,853 : 133,783.50 = 133,783.50 : x
2. Step 2: Convert to fraction form
   100,853/133,783.50 = 133,783.50/x
3. Step 3: Cross multiply
   100,853x = 133,783.50 × 133,783.50
4. Step 4: Simplify right side
   100,853x = 17,898,024,872.25
5. Step 5: Solve for x
   x = 17,898,024,872.25/100,853
6. Step 6: Final answer
   x = 177,466.46