Finding the Third Proportional to 174,984 and 374,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,984 : 374,752.50 = 374,752.50 : x
2. Step 2: Convert to fraction form
   174,984/374,752.50 = 374,752.50/x
3. Step 3: Cross multiply
   174,984x = 374,752.50 × 374,752.50
4. Step 4: Simplify right side
   174,984x = 140,439,436,256.25
5. Step 5: Solve for x
   x = 140,439,436,256.25/174,984
6. Step 6: Final answer
   x = 802,584.44