Finding the Third Proportional to 71,856 and 157,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,856 : 157,837.50 = 157,837.50 : x
2. Step 2: Convert to fraction form
   71,856/157,837.50 = 157,837.50/x
3. Step 3: Cross multiply
   71,856x = 157,837.50 × 157,837.50
4. Step 4: Simplify right side
   71,856x = 24,912,676,406.25
5. Step 5: Solve for x
   x = 24,912,676,406.25/71,856
6. Step 6: Final answer
   x = 346,702.80