Finding the Third Proportional to 238,774.50 and 523,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,774.50 : 523,475.50 = 523,475.50 : x
2. Step 2: Convert to fraction form
   238,774.50/523,475.50 = 523,475.50/x
3. Step 3: Cross multiply
   238,774.50x = 523,475.50 × 523,475.50
4. Step 4: Simplify right side
   238,774.50x = 274,026,599,100.25
5. Step 5: Solve for x
   x = 274,026,599,100.25/238,774.50
6. Step 6: Final answer
   x = 1,147,637.62