Finding the Third Proportional to 137,779.50 and 195,012

Step by Step Solution

1. Step 1: Write the proportion equation
   137,779.50 : 195,012 = 195,012 : x
2. Step 2: Convert to fraction form
   137,779.50/195,012 = 195,012/x
3. Step 3: Cross multiply
   137,779.50x = 195,012 × 195,012
4. Step 4: Simplify right side
   137,779.50x = 38,029,680,144
5. Step 5: Solve for x
   x = 38,029,680,144/137,779.50
6. Step 6: Final answer
   x = 276,018.42