Finding the Third Proportional to 175,512 and 342,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,512 : 342,274.50 = 342,274.50 : x
2. Step 2: Convert to fraction form
   175,512/342,274.50 = 342,274.50/x
3. Step 3: Cross multiply
   175,512x = 342,274.50 × 342,274.50
4. Step 4: Simplify right side
   175,512x = 117,151,833,350.25
5. Step 5: Solve for x
   x = 117,151,833,350.25/175,512
6. Step 6: Final answer
   x = 667,486.17