Finding the Third Proportional to 194,401 and 291,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,401 : 291,601.50 = 291,601.50 : x
2. Step 2: Convert to fraction form
   194,401/291,601.50 = 291,601.50/x
3. Step 3: Cross multiply
   194,401x = 291,601.50 × 291,601.50
4. Step 4: Simplify right side
   194,401x = 85,031,434,802.25
5. Step 5: Solve for x
   x = 85,031,434,802.25/194,401
6. Step 6: Final answer
   x = 437,402.25