Finding the Third Proportional to 234,786 and 314,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   234,786 : 314,536.50 = 314,536.50 : x
2. Step 2: Convert to fraction form
   234,786/314,536.50 = 314,536.50/x
3. Step 3: Cross multiply
   234,786x = 314,536.50 × 314,536.50
4. Step 4: Simplify right side
   234,786x = 98,933,209,832.25
5. Step 5: Solve for x
   x = 98,933,209,832.25/234,786
6. Step 6: Final answer
   x = 421,376.10