Finding the Third Proportional to 342,126 and 492,819.75

Step by Step Solution

1. Step 1: Write the proportion equation
   342,126 : 492,819.75 = 492,819.75 : x
2. Step 2: Convert to fraction form
   342,126/492,819.75 = 492,819.75/x
3. Step 3: Cross multiply
   342,126x = 492,819.75 × 492,819.75
4. Step 4: Simplify right side
   342,126x = 242,871,305,990.06
5. Step 5: Solve for x
   x = 242,871,305,990.06/342,126
6. Step 6: Final answer
   x = 709,888.48