Finding the Third Proportional to 159,152 and 216,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   159,152 : 216,274.50 = 216,274.50 : x
2. Step 2: Convert to fraction form
   159,152/216,274.50 = 216,274.50/x
3. Step 3: Cross multiply
   159,152x = 216,274.50 × 216,274.50
4. Step 4: Simplify right side
   159,152x = 46,774,659,350.25
5. Step 5: Solve for x
   x = 46,774,659,350.25/159,152
6. Step 6: Final answer
   x = 293,899.29