Finding the Third Proportional to 194,814 and 292,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,814 : 292,792.50 = 292,792.50 : x
2. Step 2: Convert to fraction form
   194,814/292,792.50 = 292,792.50/x
3. Step 3: Cross multiply
   194,814x = 292,792.50 × 292,792.50
4. Step 4: Simplify right side
   194,814x = 85,727,448,056.25
5. Step 5: Solve for x
   x = 85,727,448,056.25/194,814
6. Step 6: Final answer
   x = 440,047.68