Finding the Third Proportional to 37,380 and 78,220.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,380 : 78,220.50 = 78,220.50 : x
2. Step 2: Convert to fraction form
   37,380/78,220.50 = 78,220.50/x
3. Step 3: Cross multiply
   37,380x = 78,220.50 × 78,220.50
4. Step 4: Simplify right side
   37,380x = 6,118,446,620.25
5. Step 5: Solve for x
   x = 6,118,446,620.25/37,380
6. Step 6: Final answer
   x = 163,682.36