Finding the Third Proportional to 127,140 and 177,834

Step by Step Solution

1. Step 1: Write the proportion equation
   127,140 : 177,834 = 177,834 : x
2. Step 2: Convert to fraction form
   127,140/177,834 = 177,834/x
3. Step 3: Cross multiply
   127,140x = 177,834 × 177,834
4. Step 4: Simplify right side
   127,140x = 31,624,931,556
5. Step 5: Solve for x
   x = 31,624,931,556/127,140
6. Step 6: Final answer
   x = 248,741.01