Finding the Third Proportional to 194,757.50 and 291,358

Step by Step Solution

1. Step 1: Write the proportion equation
   194,757.50 : 291,358 = 291,358 : x
2. Step 2: Convert to fraction form
   194,757.50/291,358 = 291,358/x
3. Step 3: Cross multiply
   194,757.50x = 291,358 × 291,358
4. Step 4: Simplify right side
   194,757.50x = 84,889,484,164
5. Step 5: Solve for x
   x = 84,889,484,164/194,757.50
6. Step 6: Final answer
   x = 435,872.73