Finding the Third Proportional to 152,736 and 230,784

Step by Step Solution

1. Step 1: Write the proportion equation
   152,736 : 230,784 = 230,784 : x
2. Step 2: Convert to fraction form
   152,736/230,784 = 230,784/x
3. Step 3: Cross multiply
   152,736x = 230,784 × 230,784
4. Step 4: Simplify right side
   152,736x = 53,261,254,656
5. Step 5: Solve for x
   x = 53,261,254,656/152,736
6. Step 6: Final answer
   x = 348,714.48