Finding the Third Proportional to 104,460 and 152,316

Step by Step Solution

1. Step 1: Write the proportion equation
   104,460 : 152,316 = 152,316 : x
2. Step 2: Convert to fraction form
   104,460/152,316 = 152,316/x
3. Step 3: Cross multiply
   104,460x = 152,316 × 152,316
4. Step 4: Simplify right side
   104,460x = 23,200,163,856
5. Step 5: Solve for x
   x = 23,200,163,856/104,460
6. Step 6: Final answer
   x = 222,096.15