Finding the Third Proportional to 238,077 and 369,049.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,077 : 369,049.50 = 369,049.50 : x
2. Step 2: Convert to fraction form
   238,077/369,049.50 = 369,049.50/x
3. Step 3: Cross multiply
   238,077x = 369,049.50 × 369,049.50
4. Step 4: Simplify right side
   238,077x = 136,197,533,450.25
5. Step 5: Solve for x
   x = 136,197,533,450.25/238,077
6. Step 6: Final answer
   x = 572,073.46