Finding the Third Proportional to 174,861 and 374,530.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,861 : 374,530.50 = 374,530.50 : x
2. Step 2: Convert to fraction form
   174,861/374,530.50 = 374,530.50/x
3. Step 3: Cross multiply
   174,861x = 374,530.50 × 374,530.50
4. Step 4: Simplify right side
   174,861x = 140,273,095,430.25
5. Step 5: Solve for x
   x = 140,273,095,430.25/174,861
6. Step 6: Final answer
   x = 802,197.72