Finding the Third Proportional to 78,316 and 152,692

Step by Step Solution

1. Step 1: Write the proportion equation
   78,316 : 152,692 = 152,692 : x
2. Step 2: Convert to fraction form
   78,316/152,692 = 152,692/x
3. Step 3: Cross multiply
   78,316x = 152,692 × 152,692
4. Step 4: Simplify right side
   78,316x = 23,314,846,864
5. Step 5: Solve for x
   x = 23,314,846,864/78,316
6. Step 6: Final answer
   x = 297,702.22