Finding the Third Proportional to 178,461 and 237,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,461 : 237,922.50 = 237,922.50 : x
2. Step 2: Convert to fraction form
   178,461/237,922.50 = 237,922.50/x
3. Step 3: Cross multiply
   178,461x = 237,922.50 × 237,922.50
4. Step 4: Simplify right side
   178,461x = 56,607,116,006.25
5. Step 5: Solve for x
   x = 56,607,116,006.25/178,461
6. Step 6: Final answer
   x = 317,196.00