Finding the Third Proportional to 71,460 and 159,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,460 : 159,835.50 = 159,835.50 : x
2. Step 2: Convert to fraction form
   71,460/159,835.50 = 159,835.50/x
3. Step 3: Cross multiply
   71,460x = 159,835.50 × 159,835.50
4. Step 4: Simplify right side
   71,460x = 25,547,387,060.25
5. Step 5: Solve for x
   x = 25,547,387,060.25/71,460
6. Step 6: Final answer
   x = 357,506.12