Finding the Third Proportional to 42,417 and 100,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,417 : 100,345.50 = 100,345.50 : x
2. Step 2: Convert to fraction form
   42,417/100,345.50 = 100,345.50/x
3. Step 3: Cross multiply
   42,417x = 100,345.50 × 100,345.50
4. Step 4: Simplify right side
   42,417x = 10,069,219,370.25
5. Step 5: Solve for x
   x = 10,069,219,370.25/42,417
6. Step 6: Final answer
   x = 237,386.41