Finding the Third Proportional to 374,023 and 526,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   374,023 : 526,090.50 = 526,090.50 : x
2. Step 2: Convert to fraction form
   374,023/526,090.50 = 526,090.50/x
3. Step 3: Cross multiply
   374,023x = 526,090.50 × 526,090.50
4. Step 4: Simplify right side
   374,023x = 276,771,214,190.25
5. Step 5: Solve for x
   x = 276,771,214,190.25/374,023
6. Step 6: Final answer
   x = 739,984.48