Finding the Third Proportional to 116,445 and 178,062

Step by Step Solution

1. Step 1: Write the proportion equation
   116,445 : 178,062 = 178,062 : x
2. Step 2: Convert to fraction form
   116,445/178,062 = 178,062/x
3. Step 3: Cross multiply
   116,445x = 178,062 × 178,062
4. Step 4: Simplify right side
   116,445x = 31,706,075,844
5. Step 5: Solve for x
   x = 31,706,075,844/116,445
6. Step 6: Final answer
   x = 272,283.70