Finding the Third Proportional to 116,391 and 177,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,391 : 177,967.50 = 177,967.50 : x
2. Step 2: Convert to fraction form
   116,391/177,967.50 = 177,967.50/x
3. Step 3: Cross multiply
   116,391x = 177,967.50 × 177,967.50
4. Step 4: Simplify right side
   116,391x = 31,672,431,056.25
5. Step 5: Solve for x
   x = 31,672,431,056.25/116,391
6. Step 6: Final answer
   x = 272,120.96