Finding the Third Proportional to 147,143 and 233,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,143 : 233,152.50 = 233,152.50 : x
2. Step 2: Convert to fraction form
   147,143/233,152.50 = 233,152.50/x
3. Step 3: Cross multiply
   147,143x = 233,152.50 × 233,152.50
4. Step 4: Simplify right side
   147,143x = 54,360,088,256.25
5. Step 5: Solve for x
   x = 54,360,088,256.25/147,143
6. Step 6: Final answer
   x = 369,437.13