Finding the Third Proportional to 42,894 and 101,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,894 : 101,389.50 = 101,389.50 : x
2. Step 2: Convert to fraction form
   42,894/101,389.50 = 101,389.50/x
3. Step 3: Cross multiply
   42,894x = 101,389.50 × 101,389.50
4. Step 4: Simplify right side
   42,894x = 10,279,830,710.25
5. Step 5: Solve for x
   x = 10,279,830,710.25/42,894
6. Step 6: Final answer
   x = 239,656.61